Persisted cash dues invoice - I need to change the Bill To (BT

There appears to be a myriad of ways to modify/edit/update invoices but nothing I've tried works so - what's the process? I bill member 123 for membership dues, but I need to update the bill to ID to 789. It's a one-off, ID by ID, not a full billing run. I can't find any reference to edit the invoice where the value being updated is the bill to ID. I'm thinking I would need to:

Reverse the invoice
Update the Bill to ID in the party record
Bill the member

But the right combination of calls is eluding me. Any pointers? Thanks.

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Persisted cash dues invoice - I need to change the Bill To (BT_ID) value